confused

x'  =  xcos (theta) - ysin(theta)

y' =  xsin (theta) + ycos(theta)

So

F = (1,5)  →  F'  =  ( 1cos(180) - 5sin(180) , 1sin(180) + 5cos(180) )  =  ( -1, -5 )

G = (4, -3)  → G'  =  ( 4cos(180) - -3sin(180) , 4sin(180) + -3cos(180) )  =  ( -4, 3 )

(b)  is correct